101002002102100 has 288 divisors, whose sum is σ = 255365645552640. Its totient is φ = 34552711987200.

The previous prime is 101002002102073. The next prime is 101002002102103. The reversal of 101002002102100 is 1201200200101.

It is a super-2 number, since 2×101002002102100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002002102103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6152273092 + ... + 6152289508.

It is an arithmetic number, because the mean of its divisors is an integer number (886686269280).

Almost surely, 2^{101002002102100} is an apocalyptic number.

101002002102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002002102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127682822776320).

101002002102100 is an abundant number, since it is smaller than the sum of its proper divisors (154363643450540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101002002102100 is a wasteful number, since it uses less digits than its factorization.

101002002102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19200 (or 19171 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101002002102100 its reverse (1201200200101), we get a palindrome (102203202302201).

The spelling of 101002002102100 in words is "one hundred one trillion, two billion, two million, one hundred two thousand, one hundred".